What is the Least Common Multiple of 39660 and 39665?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 39660 and 39665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39660 and 39665, than apply into the LCM equation.

GCF(39660,39665) = 5
LCM(39660,39665) = ( 39660 × 39665) / 5
LCM(39660,39665) = 1573113900 / 5
LCM(39660,39665) = 314622780

Least Common Multiple (LCM) of 39660 and 39665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39660 and 39665. First we will calculate the prime factors of 39660 and 39665.

Prime Factorization of 39660

Prime Factorization of 39665

Now multiplying the highest exponent prime factors to calculate the LCM of 39660 and 39665.

LCM(39660,39665) = 2² × 3¹ × 5¹ × 661¹ × 7933¹
LCM(39660,39665) = 314622780